title: Eigenvector centrality of nodes in multiplex networks.
abstract: We extend the concept of eigenvector centrality to multiplex networks, and introduce several alternative parameters that quantify the importance of nodes in a multi-layered networked system, including the definition of vectorial-type centralities. In addition, we rigorously show that, under reasonable conditions, such centrality measures exist and are unique. Computer experiments and simulations demonstrate that the proposed measures provide substantially different results when applied to the same multiplex structure, and highlight the non-trivial relationships between the different measures of centrality introduced.
authors.affiliation: Department of Applied Mathematics, Rey Juan Carlos University, Madrid, Spain 28933.
authors.forename: Luis
authors.initials: L
authors.lastname: Solá
authors.forename: Miguel
authors.initials: M
authors.lastname: Romance
authors.forename: Regino
authors.initials: R
authors.lastname: Criado
authors.forename: Julio
authors.initials: J
authors.lastname: Flores
authors.forename: Alejandro
authors.initials: A
authors.lastname: García del Amo
authors.forename: Stefano
authors.initials: S
authors.lastname: Boccaletti
mesh_terms: D000465:Algorithms; D001703:Biophysics / Q000379:methods; D003198:Computer Simulation; D006801:Humans; D008959:Models, Neurological; D012944:Social Support; D013598:Systems Theory